EXISTENCE OF INTERIOR MULTI-PEAK SOLUTIONS IN HIGH-DIMENSIONAL FITZHUGH-NAGUMO SYSTEM

被引：0

作者：

Hu, Yeyao ^{[1
]}

Wang, Bingqi ^{[1
]}

Zhou, Xiangyu ^{[1
]}

机构：

[1] Cent South Univ, Sch Math & Stat, Changsha, Hunan, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2023年 / 22卷 / 12期

关键词：

FitzHugh-Nagumo model; Liapunov-Schmidt reduction; interior peaks; multipeak solutions; nonlocal elliptic equations;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the elliptic system of FitzHugh-Nagumo type in ohm, a smooth and bounded domain in RN where N >= 3. Under appropriate hypothesis on the parameters, we prove the existence of multi-peak solutions for the Dirichlet problem. We construct multi-peak solutions with all the peaks away from the boundary and give the exact locations of the peaks which depend on the Green function of screened Poisson operator.

引用

页码：3461 / 3477

页数：17